267966 has 12 divisors (see below), whose sum is σ = 580632. Its totient is φ = 89316.

The previous prime is 267961. The next prime is 268003. The reversal of 267966 is 669762.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 267966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (267961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7426 + ... + 7461.

It is an arithmetic number, because the mean of its divisors is an integer number (48386).

2²⁶⁷⁹⁶⁶ is an apocalyptic number.

267966 is an abundant number, since it is smaller than the sum of its proper divisors (312666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

267966 is a wasteful number, since it uses less digits than its factorization.

267966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14895 (or 14892 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 267966 is about 517.6543248153. The cubic root of 267966 is about 64.4703306848.

The spelling of 267966 in words is "two hundred sixty-seven thousand, nine hundred sixty-six".